Construct an angle of 90° at the initial point of a given ray and justify the construction.

Given :

The given angle is 90°.

To do :

We have to Construct 90° and justify the construction.

Solution :

Constructing a 90º Angle

We can construct a 90º angle either by bisecting a straight angle or using the following steps.

Step 1:  Draw a straight line PA with ruler and pencil.

Step 2:  Place the point of the compass at P and draw an arc that cuts the arm at Q.

Step 3:  Place the point of the compass at Q and draw an arc of radius PQ that cuts

the arc drawn in Step 2 at R.

Step 4:  With the point of the compass at R, draw an arc of radius PQ to cut the arc drawn in Step 2 at S.

Step 5:  With the point of the compass still at R, draw another arc of radius PQ near T as shown.

Step 6:  With the point of the compass at S, draw an arc of radius PQ to cut the arc drawn in step 5 at T.

Step 7:  Join T to P. The angle APT is 90º.

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Updated on: 10-Oct-2022

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